Permutation based 2-sample mean test for (hyper-)spherical data | R Documentation |

Permutation based 2-sample mean test for (hyper-)spherical data.

```
hcf.perm(x1, x2, B = 999)
lr.perm(x1, x2, B = 999)
hclr.perm(x1, x2, B = 999)
embed.perm(x1, x2, B = 999)
het.perm(x1, x2, B = 999)
```

`x1` |
A matrix with the data in Euclidean coordinates, i.e. unit vectors. |

`x2` |
A matrix with the data in Euclidean coordinates, i.e. unit vectors. |

`B` |
The number of permutations to perform. |

The high concentration (hcf.perm), log-likelihood ratio (lr.perm), high concentration log-likelihood ratio (hclr.perm), embedding approach (embed.perm) or the non equal concentration parameters approach (het.perm) is used.

This is an "htest"class object. Thus it returns a list including:

`statistic` |
The test statistic value. |

`parameter` |
The degrees of freedom of the test. Since these are permutation based tests this is "NA". |

`p.value` |
The p-value of the test. |

`alternative` |
A character with the alternative hypothesis. |

`method` |
A character with the test used. |

`data.name` |
A character vector with two elements. |

Michail Tsagris.

R implementation and documentation: Michail Tsagris mtsagris@uoc.gr.

Mardia K. V. and Jupp P. E. (2000). Directional statistics. Chicester: John Wiley & Sons.

Rumcheva P. and Presnell B. (2017). An improved test of equality of mean directions for the Langevin-von Mises-Fisher distribution. Australian & New Zealand Journal of Statistics, 59(1), 119–135.

Tsagris M. and Alenazi A. (2022). An investigation of hypothesis testing procedures for circular and spherical mean vectors. Communications in Statistics-Simulation and Computation (Accepted for publication).

```
hcf.boot, hcf.aov, spherconc.test, conc.test
```

```
x <- rvmf(60, rnorm(3), 15)
ina <- rep(1:2, each = 30)
x1 <- x[ina == 1, ]
x2 <- x[ina == 2, ]
hcf.perm(x1, x2)
lr.perm(x1, x2)
het.boot(x1, x2)
```

Directional documentation built on Oct. 12, 2023, 1:07 a.m.

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